2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/36502We derive the general $Σ_2\times S$ solution of topologically massive gravity in vacuum and in presence of a cosmological constant. The field equations reduce to three-dimensional Einstein equations and the solution has constant Ricci tensor. We briefly discuss the emergence of non-Ricci flat solutions when spin is introduced.7 pages, no figures, LaTeXGeneral Relativity and Quantum CosmologyThe Birkhoff theorem for topologically massive gravitytext